The basic properties of the scalarized BHs constructed herein
were found to be rather similar to
those in the original work [1]},
where a quadratic coupling function has been employed.
In particular, the scalarized BHs are entropically
disfavoured over the Schwarzschild vacuum configuration.
Generic solutions (with a scalar field which does not
approach asymptotically the ground state)
were also studied, and a perturbative solution was reported.
